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From the Difference of Structures to the Structure of the Difference

Author

Listed:
  • Massimiliano Zanin
  • Ernestina Menasalvas
  • Xiaoqian Sun
  • Sebastian Wandelt

Abstract

When dealing with evolving or multidimensional complex systems, network theory provides us with elegant ways of describing their constituting components, through, respectively, time-varying and multilayer complex networks. Nevertheless, the analysis of how these components are related is still an open problem. We here propose a general framework for analysing the evolution of a (complex) system, by describing the structure created by the difference between multiple networks by means of the Information Content metric. Differently from other approaches, which focus on assessing the magnitude of the change, the proposed one allows understanding if the observed changes are due to random noise or to structural (targeted) modifications; in other words, it allows describing the nature of the force driving the changes and discriminating between stochastic fluctuations and intentional modifications. We validate the framework by means of sets of synthetic networks, as well as networks representing real technological, social, and biological evolving systems. We further propose a way of reconstructing network correlograms, which allow converting the system’s evolution to the frequency domain.

Suggested Citation

  • Massimiliano Zanin & Ernestina Menasalvas & Xiaoqian Sun & Sebastian Wandelt, 2018. "From the Difference of Structures to the Structure of the Difference," Complexity, Hindawi, vol. 2018, pages 1-12, December.
    • Handle: RePEc:hin:complx:4326097
    DOI: 10.1155/2018/4326097
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    References listed on IDEAS

    as
    1. Xiaoqian Sun & Sebastian Wandelt & Xianbin Cao, 2017. "On Node Criticality in Air Transportation Networks," Networks and Spatial Economics, Springer, vol. 17(3), pages 737-761, September.
    2. Passerini, Filippo & Severini, Simone, 2008. "The von Neumann entropy of networks," MPRA Paper 12538, University Library of Munich, Germany.
    3. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    Cited by:

    1. Zanin, Massimiliano & Papo, David, 2020. "Assessing functional propagation patterns in COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).

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